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Finding the Third Proportional to 46,681.50 and 102,435

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Solution

The third proportional to 46,681.50 and 102,435 is: 224,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681.50 : 102,435 = 102,435 : x
  2. Step 2: Convert to fraction form
    46,681.50/102,435 = 102,435/x
  3. Step 3: Cross multiply
    46,681.50x = 102,435 × 102,435
  4. Step 4: Simplify right side
    46,681.50x = 10,492,929,225
  5. Step 5: Solve for x
    x = 10,492,929,225/46,681.50
  6. Step 6: Final answer
    x = 224,777.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.